RAW Video: Air Force One taxis after landing at PS...: Air Force One taxis after landing at the Palm Springs International Airport on Friday, June 7, 2013.

A woman sticks her head out of a car window to get a better look at Chinese President Xi Jinping's motorcade on Saturday, June 8, 2013. Photo taken on Palm Drive just off the I-10 overpass. (Richard Lui The Desert Sun) / Richard Lui/The Desert Sun

President Barack Obama, right, smiles as he meets with Chinese President Xi Jinping at the Annenberg Retreat at Sunnylands Friday, June 7, 2013, in Rancho Mirage, Calif. Seeking a fresh start to a complex relationship, the leaders are retreating to a sprawling desert estate for two days of talks on high-stakes issues, including cybersecurity and North Korea's nuclear threats. (AP Photo/Evan Vucci) / AP

President Barack Obama and Chinese President Xi Jinping strolled over a pedestrian bridge near a pond, with the San Jacinto Mountains in the distance, at the Sunnylands estate in Rancho Mirage on Saturday. It was the start to the second day of their historic Sunnylands meeting. / Pete Souza, White House

The outing follows Chinese President Xi Jinping‘s departure from the Coachella Valley after the two presidents “blazed a new trail” away from the two nations’ past differences, as senior Chinese official said Saturday.

The presidents wrapped up their two-day summit in Rancho Mirage that ended with few policy breakthroughs but the prospect of stronger personal ties.

Obama will remain at the Sunnylands estate, but there are no additional planned public activities planned before he flies out Sunday, according to the White House.

The two presidents will meet a second time in China at a later date, a Chinese state official added.

With their sleeves rolled up, the presidents began the second day of meetings at 9 a.m. Saturday with a casual walk together. As a pair of interpreters who lagged steps behind them, the two could be seen by reporters walking across a bucolic expanse of grass and then over a pedestrian bridge near a pond, with the San Jacinto Mountains in the distance.

Responding to a shouted question from a reporter about how the summit was going, Obama responded, “Terrific.”

Xi’s senior foreign policy adviser, Yang Jiechi, said the two leaders “talked about cooperation and did not shy away from differences” in about eight hours of talks Friday and Saturday. The gathering at the sprawling Sunnylands estate was their first meeting since Xi took office in March.

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“The two presidents agreed to build a new model of major country relationship between China and the United States based on mutual respect and win-win cooperation,” Yang said. “We have to stay each other’s partners, not rivals.”

The agreement between the United States and China reads as follows: “Regarding HFCs, the United States and China agreed to work together and with other countries through multilateral approaches that include using the expertise and institutions of the Montreal Protocol to phase down the production and consumption of HFCs, while continuing to include HFCs within the scope of UNFCCC and its Kyoto Protocol provisions for accounting and reporting of emissions.”

The White House said that such a global phase down of HFCs “could potentially reduce some 90 gigatons of CO2 equivalent by 2050, equal to roughly two years worth of current global greenhouse gas emissions.” It didn’t spell out specifics of how the two governments will lessen emissions of HFCs.

After the presidents wrapped up their meeting about 11:30 a.m. the Sunnylands grounds, Xi moved on to a a meeting with Gov. Jerry Brown in Indian Wells. Chinese first lady Peng Liyuan and Brown’s wife, Anne Gust Brown, joined the meeting, according to a guest list obtained by The Desert Sun.

Reporters spotted a bench on the grass outside that appeared to have been a gift. The bench was inscribed: "Presented to His Excellency Xi Jinping President of the People's Republic of China By Barack Obama President of the United States, Sunnylands Annenberg Estate, June 7-8, 2013." It also had a short statement written in Chinese.

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According to a White House statement, Obama and Xi concluded their meeting around 11:30 a.m. and then had tea with Peng and Madame Ni, the wife of the Chinese ambassador.

Air Force One remains stationed at the Palm Springs International Airport on Saturday, drawing a steady crowd of residents.

Normally a quiet stretch of road, Airport Center Drive has been packed with cars as dozens of people park along it and filter across a couple hundred feet of desert to the airport fence for a good photo op.

Obama will depart out of the Palm Springs airport and head back to Washington D.C. on Sunday, the White House announced Saturday. Details about his stay have not been released, and his departure will be closed to the public.

The U.S. president is an avid golfer and the Sunnylands estate in Rancho Mirage, where the talks are being held, has a nine-hole golf course. Obama played golf in Washington on each of the past four Saturdays.

The two-day summit —which began Friday after Obama landed Air Force One in Palm Springs — offered the presidents a rare opportunity to look for common ground in an informal setting and to air their stances on sensitive subjects such as North Korea, the American military’s growing presence in Asia, and U.S. accusations of Chinese cyberespionage.

Obama became the eighth American leader to visit Sunnylands, the historic 200-acre estate of the late Walter and Leonore Annenberg, which has previously hosted presidents including Richard Nixon, Ronald Reagan and Bill Clinton.

Facing each other across a table inside the estate, Obama told Xi that the decision to meet so soon after the Chinese leader took over as president in March reflected the importance of the relationship.

“The United States welcomes the continuing peaceful rise of China as a world power,” Obama said. “In fact, it is in the United States’ interest that China continues on the path of success, because we believe that a peaceful and stable and prosperous China is not only good for Chinese but also good for the world and for the United States.”